演講訊息 TALKS

In a population model with Allee effect, threshold dynamic exists such that extinction occurs when the initial population is below the threshold, and persistence occurs when it is above the threshold. In a structured population model such as reaction-diffusion equation or nonlinear matrix equation, the threshold is related to the order of the phase space, and very often, the exact number of equilibrium states of the system. I will review the development of related theories on 1) global bifurcation diagrams of equilibrium solutions; 2) existence and properties of threshold manifold; and various examples from population biology.